"I can't think of a hunting or SD situation where the extra speed of the auto would matter."
I can, after you engage your first "target" the second or third or whatever after the first, it could/would matter.
It's not close - Flanigan's record 12 shots in 1.42 seconds is about twice as fast as even the greatest of all time could shoot a pump action. So it's not close but that does not mean that a pump action is not an option.